s(x)=3600/(60+x)=3600(60 + x)^-1 is a function that gives average speed. It takes 60+x seconds to travel one km.

Phoebe

Phoebe

Answered question

2021-09-16

s(x)=360060+x=3600(60+x)1 is a function that gives average speed. It takes 60+x seconds to travel one km. Find average speed if one kmis traveled in 53 seconds.

Answer & Explanation

grbavit

grbavit

Skilled2021-09-17Added 109 answers

s(x)=360060+x
ddx(s(x))=ddx(360060+x)
=3600ddx(1/(60+x))
=3600(60+x)2
Approximate speed equation:
L(x)s(a)+s(xa)
Where a=0 and x=53.
L(x)s(0)+s(530)
=360060+03600(60+53)2
=36006036001132
=60360012769
=600.2819
=59.718
The approximate average speed is 59.718 km/hr.

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